document.write( "Question 161773: Matthew is 3 times as old as Jenny. In 7 years, he will be twice as old as she will be then. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #119226 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Matthew is 3 times as old as Jenny. In 7 years, he will be twice as old as she \n" ); document.write( " will be then. How old is each now? \n" ); document.write( ": \n" ); document.write( "Let M = Matthew's age now \n" ); document.write( "Let J = Jenny's age now \n" ); document.write( "; \n" ); document.write( "Their ages in 7 years: \n" ); document.write( "(M+7) and (J+7) \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "; \n" ); document.write( "\"Matthew is 3 times as old as Jenny.\" \n" ); document.write( "M = 3J \n" ); document.write( ": \n" ); document.write( " In 7 years, he will be twice as old as she will be then.\" \n" ); document.write( "(M+7) = 2(J+7) \n" ); document.write( "Simplify equation \n" ); document.write( "M + 7 = 2J + 14 \n" ); document.write( "M = 2J + 14 - 7 \n" ); document.write( "M = 2J + 7 \n" ); document.write( ": \n" ); document.write( " How old is each now? \n" ); document.write( ": \n" ); document.write( "From the 1st equation; substitute 3J for M in the above equation \n" ); document.write( "3J = 2J + 7 \n" ); document.write( "3J - 2J = 7 \n" ); document.write( "J = 7 yrs is Jenny's age now \n" ); document.write( ": \n" ); document.write( "Then from the 1st equation: \n" ); document.write( "M = 3(7) \n" ); document.write( "M = 21 yrs is Matthew's age now \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"In 7 years, he will be twice as old as she will be then.\" \n" ); document.write( "21 + 7 = 2(7+7) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Was this understandable? Did it make sense to you? \n" ); document.write( " \n" ); document.write( " |